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Finding the Fourth Proportional to 2,464.80, 3,697.10 and 1,679.19

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Solution

The fourth proportional to 2,464.80, 3,697.10 and 1,679.19 is: 2,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.80 : 3,697.10 = 1,679.19 : x
  2. Step 2: Convert to fraction form
    2,464.80/3,697.10 = 1,679.19/x
  3. Step 3: Cross multiply
    2,464.80x = 3,697.10 × 1,679.19
  4. Step 4: Simplify right side
    2,464.80x = 6,208,133.35
  5. Step 5: Solve for x
    x = 6,208,133.35/2,464.80
  6. Step 6: Final answer
    x = 2,518.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.